Recent content by Why?

Homework Statement The alternating sum of the first five numbers is 1-2+3-4+5=3. Find a formula for the alternating sum of the first n numbers. How about the alternating sum of the squares of the first n numbers? Homework Equations Sum of the first n numbers. \frac{n(n+1)}{2} Sum of...

Sorry I wasn't very clear. Just thinking it through I know that 23 is 8, so x<3. However my difficulty was in proving it, using the mathematical context that Spivak uses. hunt_mat's example makes a lot of sense to me and fulfills that need to explain it more concretely. Thanks for...

Homework Statement Find all numbers x for which: 2x<8Homework Equations The Attempt at a Solution I really haven't been able to figure this one out.

Thanks for your advice. Calculus: While I agree that The Calculus Lifesaver: All the Tools You Need to Excel at Calculus is a wonderful supplement, I am looking for a more rigorous program. For further clarification, let me explain my school "plan." Over the summer I will begin my calculus...

Hi, I am a homeschooler who is currently ending his sophomore year of high school. I am finishing Advanced Math(Precalculus) and I have never taken physics before. While this may seem strange, I want to become a physicist. I have read many books about theoretical physics, but I don't have any...

The Physics of Star Trek was the first book on physics I had ever read, and it was the one of the things that really got me hooked on the subject. I cannot recommend enough. Do not worry if you cannot understand everything; I couldn't until I got a little deeper into the topics they present...